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Neil Nilesh

· started a discussion

· 1 Months ago

X/Y is changed to Y/X . After that how that solution went further is still a mystery.

Question:
Two boys swim towards each other at the same time from two ends of a swimming pool and meet at a distance of 18.3 m. from shallow end. After crossing each other, they reach opposite ends to rest 12 minutes each and then they return back to meet at a distance 14.9 m. from the deep end. What is the length of swimming pool?
Options:
A) 40 mtr.
B) 50 mtr.
C) 30 mtr.
D) None of these
Solution:
Ans: (d)


Let total distance be d, then

\(\cfrac{d-18.3}{18.3}=\cfrac{x}{y}\)  .......(i)

\(\cfrac{2d+14.9}{2d-14.9}=\cfrac{y}{x}\) ........(ii)

From equ. (i) & (ii)

\(\cfrac{d-18.3}{18.3}=\) \(\cfrac{2d+14.9}{2d-14.9}\Rightarrow\cfrac{d}{d-2\times 18.3}=\cfrac{4d}{-2\times14.9}\)

4d - 8 × 18.3 = -2 × 14.9

\(d=\cfrac{164.4-29.8}{4}=\cfrac{116.6}{4}=29.15\)

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